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Ensembles invariants des flots géodésiques des variétés localement symétriques

Published online by Cambridge University Press:  19 September 2008

A. Zeghib
A. Zeghib
Affiliation:
CNRS UMR 128, Ecole Normale Supérieure de Lyon, 46, Allée d' Italie, 69364 LYON Cedex 07, France
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Abstract

We study the rectifiable invariant subsets of algebraic dynamical systems determined by ℝ-semisimple one parameter groups. We show that their ergodic components are algebraic. A more precise geometric description of these components is possible in some cases of geodesic flows of locally symmetric spaces with non-positive curvature.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 2 , April 1995 , pp. 379 - 412
Copyright
Copyright © Cambridge University Press 1995

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